Prove that the centre of mass of two particle divides the line joining the particles in the inverse ratio of their masses.

The centre of mass of two particles system lies

The centre of mass of two particles system lies

Does centre of mass of a system of two particles lie on the line joining the particles ?

Does the centre of mass of a system of two particles lie on the line joining the two particles?

Statement-1 : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle. Statement-2 : Product of mass of one particle and its distance from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.

(A) : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle. (R ) : Product of mas of one particle and its distace from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.

Statements : (a) Ration of the distance of the centre of mass of a two particle system are in the inverse ratio of their masses : (b) The location of the centre of mass is independent of the reference frame used locate it